Fuzzy linear regression models with absolute errors and optimum uncertainty

IEEM 2007: 2007 IEEE International Conference on Industrial Engineering and Engineering Management

Volumn , Issue , 2007, Pages 917-921

  Shakouri G , H ^a   Nadimi, R ^a   Ghaderi, F ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Fuzzy linear programming; Fuzzy linear regression; Fuzzy numbers

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; UNCERTAINTY ANALYSIS;

CRISP NUMBERS; FUZZY PARAMETERS;

LINEAR REGRESSION;

EID: 40649088330     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IEEM.2007.4419325     Document Type: Conference Paper

References (19)

1. L.A. Zadeh, "uzzy sets as a basis for a theory of possibility" Fuzzy Sets and Systems, 1, 1977.
2. H. Tanaka, S. Uegima, K. Asia, Linear regression analysis with fuzzy model, IEEE Trans. Syst. Man Cybernet. 12 (1982) 903-907.
3. H. Tanaka, I. Hayashi, J. Watada, "Possibilistic linear regression analysis for fuzzy data", Eur. J. Operat. Res. 40 (1989) pp. 389-396.
4. H. Tanaka, J. Watada, Possibilistic linear systems and their application to the linear regression model, Fuzzy Sets and Systems 27 (1988) 275-289.
5. H. Tanaka, H. Ishibuchi, S. Yoshikawa, Exponential possibility regression analysis, Fuzzy Sets and Systems 69 (1995) 305-318.
6. H. Shakouri G., K.Y. Nikravesh, "A Revision and Some Modifications on the Fuzzy Linear Regression Analysis",Proc. of ICEE'97, 5th Inter. Conf. Elec. Eng. , Sharif Univ. of Tech., Tehran, Iran, 1997.
7. H. Shakouri G., K.Y. Nikravesh, M.B. Menhaj, "The Center of the Possibility Distribution in Fuzzy Regression Analysis with Applications to the Economic Modeling", Proc. EUFIT'97, vol. 1, p.p. 335-340, 1997.
8. P. Diamond, "Fuzzy least squares", Inform. Sci. 46 (1988) 141-157.
9. M. Ming, M. Friedman, A. Kandel, "General fuzzy least squares", Fuzzy Sets Syst. 88 (1997) pp. 107-118.
10. X. Ruoning, "S-curve regression model in fuzzy environment", Fuzzy Sets Syst. 90 (1997) pp. 317-326.
11. P. D'Urso, T. Gastaldi, "A least-squares approach to fuzzy linear regression analysis", Comput. Statist.Data Anal. 34 (2000) pp. 427-440.
12. M. S. Yang, T. S. Lin, "Fuzzy least-squares linear regression analysis for fuzzy input-output data", Fuzzy Sets and Systems 126 (2002) pp. 389-399.
13. G. Peters, "Fuzzy linear regression with fuzzy intervals", Fuzzy Sets Syst. 63 (1994) pp. 45-55.
14. D. Dubois and H. Prade, Fuzzy Sets and Systems: "Theory and Applications" (Academic Press,New York, 1980).
15. P.-T. Chang, E.S. Lee, "Fuzzy linear regression analysis with spread unconstrained in sign", Comp. Math. Appl. 28(4) (1994) pp. 61-70.
16. M. Modarres, E. Nasrabadi, M.M. Nasrabadi, "Fuzzy linear regression models with least square errors" , Applied Mathematics and Computation 163 (2005) pp. 977-989.
17. B. Kim, R.R. Bishu, "Evaluation of fuzzy linear regression models by comparison membership functions", Fuzzy Sets Syst. 100 (1998) pp. 343-352.
18. D.A. Savic, W. Pedrycz, "Evaluation of fuzzy linear regression models", Fuzzy Sets Syst. 39 (1991) pp. 51-63.
19. H.J. Zimmermann, "Fuzzy Sets Theory and its Applications", Kluwer, Boston, MA, 1985.